If the neutral light isnt on its not gunna crank with the start switch period. If you ground the wire to the neutral safety switch it should turn the green light on and turn over with the start button. If it does your neutral safety switch is at fault. If it doesnt still then you have a start switch issue or wiring issue somewhere.
I didnt even notice him saying anything about the safety switch? I took it as everything was normal but it wouldnt start with the start switch but would if he jumped the solenoid? I have never jumped a solenoid to start a quad that had any other problem. 100% of the time it has been a bad solenoid for me. Im tuned in!